Mathematics
Advanced equation systems
Linear systems up to 12 unknowns and controlled nonlinear systems up to 6 unknowns with residuals.
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Back to categoryLinear systems up to 12 unknowns and controlled nonlinear systems up to 6 unknowns with residuals.
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Solve linear systems with up to 12 unknowns and square-by-shape nonlinear systems with up to 6 unknowns. Results include classification, method, and residual diagnostics.
Enter the data and select “Solve”. The tool does not calculate automatically.
Linear mode uses numerical scaled Gaussian elimination with partial pivoting. It supports rectangular systems but does not compute least-squares solutions or a symbolic parameterization of the solution space. Nonlinear mode uses a local damped Newton method with a numerical Jacobian for systems with equal equation and unknown counts. Its result depends on the initial guess, it does not search for every root, and convergence is not guaranteed. Only safely parsed real-valued expressions are supported; user code is never executed. The residual norm is absolute, so ill-conditioned or extremely scaled systems require careful interpretation.